Minefield

Logic Level 3

Alice is a famous book critic. Jane, Jim, Jasmine, and Tim are friends discussing the book. Among Jim, Jasmine and Tim, $\textbf{only one}$ is lying. Another group of friends, Xavier, John, and Gerardo are also discussing the book and $\textbf{only one of them is lying}$ . Finally, the publisher, a critic and two fans either always lie or always tell the truth. Suppose that the following statement is true:

$\textbf{If the story was long, then the author will win a lot of money.}$

Jane says:

$\textbf{Jane}$ Alice bought the book and Jim lies.

Each group of people say the following:

Group 1	Group 2
$\textbf{Jim}$ Jasmine is lying.	$\textbf{Xavier}$ : Alice did not buy the book
$\textbf{Jasmine}$ Tim tells the truth	$\textbf{John}$ : Xavier is telling the truth
$\textbf{Tim}$ : Jim is lying	$\textbf{Gerardo}$ : If John tells the truth, then Alice bought the book.

Group 3

\textbf{Publisher}

: Fan #1 lies. The story was not good.

\textbf{Fan \#1}

: At most 2 of us lie.

\textbf{Fan \#2}

: Fan #1 tells the truth

\textbf{Critic}

: The author did not win a lot of money. The publisher tells the truth.

$\underline{Headlines}$

If the story was long, then the story was not good.
If the story was not good, then Alice will quit.

What can we conclude?

The story was good The story was long Alice bought the book Alice will quit

1 solution

Saya Suka
Mar 18, 2021

Jim and Gerardo lied. Alice didn't buy the book. Jane lied and told the truth both in one sentence. The publisher and critic lied, too. The story was good and the author won a lot of money.

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